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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 86 (1982), S. 1075-1086 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 917-923 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A recently proposed procedure for computing the S matrix for collinear molecular collisions is extended from the single-mode case to the multimode case. In this procedure the semiclassical Hamiltonian describing the molecular collision is integrated in a finite-dimensional, faithful nonunitary representation of the dynamical group. When the integration is completed, the resulting group operation is mapped into the infinite-dimensional unitary representation to describe the S matrix which acts on the molecular Hilbert space and describes collisional excitation of the internal vibrational modes. This procedure is implemented to study the two-mode collision process N2+O2 and the two three-mode collision processes N2+CO2 and NO+CO2. The results compare favorably with other treatments of these collinear collision processes.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 3 (1993), S. 569-580 
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We investigate classical electronic collisions with a He+ ion. Scattering functions, such as the scattering angle, collisional time, or energy of the outgoing electron, all exhibit an interesting hierarchial self-similar structure, which can be interpreted in terms of the indefinite number of electronic returns to the vicinity of the nucleus, encounters between electrons, and Keplerian excursions of electrons during the collisional processes. Based on this mechanism a binary coding is introduced to organize the dynamics of this three-body system and to provide an understanding of the self-similarity among generations of scale magnification, which yields escape rates that vary with the sectional cut into the parameter space. The self-similarity displayed within a single generation, on the other hand, can be simply tied to the periods of the two independent electronic excursions. The physical interpretation and the symbolic dynamics introduced here are generally useful for three-body collisional systems, including atomic, molecular, or stellar collisions.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 3 (1993), S. 475-485 
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We investigate classical scattering of particles by a double-well potential. Irregularity in the scattering functions, such as scattering angle and escape time, appears when the collision energy is lowered below a threshold value. This threshold is closely related to the appearance of periodic orbits with energies above the potential maxima. We study the scattering as a function of the energy and impact parameter. In this initial parameter space the scattering functions consist of regular regions interlaced with chaotic rivers. A symbolic dynamics has been developed to organize these structures and used to reveal their scaling properties.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Accounts of chemical research 10 (1977), S. 449-455 
    ISSN: 1520-4898
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 170-179 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We investigate the classical dissociation dynamics of field-evaporated HeRh2+, in which we consider explicitly the couplings between the vibrational, rotational, and translational degrees of freedom of the diatomic ion. We show that dissociation starts with rapid rotations driven by the large electric field gradient. Through rovibrational coupling rotational energy is converted into vibrational energy via cycles of sudden increase in interatomic distance and settling-down to rapid vibrational motion. During any of such rotational–surge–rapid–vibration cycles the molecule may dissociate and the dissociation threshold varies drastically with the isotopes of He as observed experimentally. When compared to experimental data our model provides information about the range parameter of the interaction potential of the diatomic ion. We show also that the boundary separating the dissociating and nondissociating trajectories exhibits fractal behavior as a function of the field strength. Furthermore, using ensembles of trajectories we have found that the dissociation fraction is a highly fluctuating function of the field strength near the dissociation threshold and that the time-of-flight spectra consist of four to five pronounced peaks on a noisy background. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 88 (1984), S. 5772-5774 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 130-139 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The algebraic structure of a truncated semiclassical Hamiltonian describing the translational–vibrational interaction has been determined and exploited to compute the S matrix for the system. The equations of motion have been integrated in a 4×4 faithful nonunitary representation of the group, and the final results lifted to the infinite dimensional unitary representation of the group. Computations of transition probabilities are facilitated by using powerful disentangling theorems to write the S matrix in convenient operator-ordered form. These methods are in quantitative agreement with results of Gazdy and Micha, and generalize easily to the multimode case. The structure of the Ehrenfest equations of motion for the operators of the algebra is identical to the structure of the dynamical algebra itself. The S matrix is also reconstructed from these equations of motion. Finally, a simple geometric picture is presented to describe the two extreme limits of the parametric oscillator problem involving only single quantum transitions or double quantum transitions.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 84 (1986), S. 5486-5493 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Dynamical behavior of a damped Morse oscillator driven by an external sinusoidal field has been studied by solving a classical equation. Bistability of dynamical origin has been found for damping constants ranging from 0.001 to 0.4. In the weaker damping limit, corresponding to a liquid or high-pressure gas medium, bistability shows up for a large range of driving frequency and both the lower and upper branches belong to the type of period-one orbits. At the stronger damping limit, simulating a solid-state system, and in the presence of an intense field, we have found a sequence of period-doubling bifurcations leading to chaos for both the lower and upper branches. The stability diagram in the driving amplitude and frequency space show two cusp regions of bistability. This shape suggests that each of them can be described locally as a cusp catastrophe. Possible relevance of the molecular bistability to stimulated Raman scattering experiment is discussed.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 68 (1992), S. 189-206 
    ISSN: 1572-9613
    Keywords: Laser-assisted atomic scattering ; stabilized continuum ; control of chaos ; wave packet propagation ; dressed molecular formation ; correspondence principle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We review here the results of our investigations concerning chaotic atomic scattering in the presence of a laser field. Particular emphasis is put on the existence of classical stable resonance structures, induced by the intense laser field, which are embedded in the field-free continuum. We show that phase space structures in the vicinity of a resonance island play an important role in the chaotic scattering behavior and form the basis for a mechanism to enhance the lifetimes of the collisional partners. Quantum calculations, based on a wave packet propagation method, show that quantum solutions are strongly influenced by the classical phase space structures. More specifically, a wave packet is found to spread differently in the regular and chaotic regions; in the latter case it spreads exponentially with time until saturation occurs, defining the saturation time. We also investigate theħ dependence of the spreading rates in both the regular and chaotic regimes. Calculations with an ensemble of classical trajectories are also presented to further illustrate the smoothing effects of varyingħ.
    Type of Medium: Electronic Resource
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